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Finding the Fourth Proportional to 286,447.79, 429,693.56 and 86,784.72

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Solution

The fourth proportional to 286,447.79, 429,693.56 and 86,784.72 is: 130,183.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,447.79 : 429,693.56 = 86,784.72 : x
  2. Step 2: Convert to fraction form
    286,447.79/429,693.56 = 86,784.72/x
  3. Step 3: Cross multiply
    286,447.79x = 429,693.56 × 86,784.72
  4. Step 4: Simplify right side
    286,447.79x = 37,290,833,570.57
  5. Step 5: Solve for x
    x = 37,290,833,570.57/286,447.79
  6. Step 6: Final answer
    x = 130,183.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.